Absolute weighted arithmetic mean summability factors of infinite series and trigonometric fourier series

DOI10.2298/FIL1715963BOpenAlexW2569652459MaRDI QIDQ5020934

Hüseyin Bor

Publication date: 7 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1715963b

zbMATH Keywords

infinite seriessequence spaceHölder inequalityMinkowski inequalityweighted arithmetic meantrigonometric Fourier seriesquasi-power increasing sequencealmost increasing sequence

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Convergence factors and summability factors (40D15) Summability and absolute summability of Fourier and trigonometric series (42A24) Absolute and strong summability (40F05) Special methods of summability (40G99)

Related Items (7)

Unnamed Item ⋮ Unnamed Item ⋮ A new note on factored infinite series and trigonometric Fourier series ⋮ Factored infinite series and Fourier series involving almost increasing sequences ⋮ On absolute matrix summability factors of infinite series and Fourier series ⋮ A New Application of a Wider Class of Power Increasing Sequences ⋮ On the generalizations of some factors theorems for infinite series and fourier series

Cites Work

• A note on \(|A|_k\) summability factors of infinite series
• Quasimonotone and almost increasing sequences and their new applications
• Extension on absolute summability factors of infinite series
• On two summability methods
• On an Extension of Absolute Summability and Some Theorems of Littlewood and Paley
• On Absolute Summability Factors
• An application of power increasing sequences to infinite series and fourier series
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